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Finding the Fourth Proportional to 740.90, 1,022.54 and 461.42

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Solution

The fourth proportional to 740.90, 1,022.54 and 461.42 is: 636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.90 : 1,022.54 = 461.42 : x
  2. Step 2: Convert to fraction form
    740.90/1,022.54 = 461.42/x
  3. Step 3: Cross multiply
    740.90x = 1,022.54 × 461.42
  4. Step 4: Simplify right side
    740.90x = 471,817.85
  5. Step 5: Solve for x
    x = 471,817.85/740.90
  6. Step 6: Final answer
    x = 636.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.